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Finding the Fourth Proportional to 233.16, 321.74 and 134.94

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Solution

The fourth proportional to 233.16, 321.74 and 134.94 is: 186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 321.74 = 134.94 : x
  2. Step 2: Convert to fraction form
    233.16/321.74 = 134.94/x
  3. Step 3: Cross multiply
    233.16x = 321.74 × 134.94
  4. Step 4: Simplify right side
    233.16x = 43,415.60
  5. Step 5: Solve for x
    x = 43,415.60/233.16
  6. Step 6: Final answer
    x = 186.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.